Answer:
x-38
Step-by-step explanation:
Solution for (2x+5)=(3x-33) equation:
Simplifying
(2x + 5) = (3x + -33)
Reorder the terms:
(5 + 2x) = (3x + -33)
Remove parenthesis around (5 + 2x)
5 + 2x = (3x + -33)
Reorder the terms:
5 + 2x = (-33 + 3x)
Remove parenthesis around (-33 + 3x)
5 + 2x = -33 + 3x
Solving
5 + 2x = -33 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
5 + 2x + -3x = -33 + 3x + -3x
Combine like terms: 2x + -3x = -1x
5 + -1x = -33 + 3x + -3x
Combine like terms: 3x + -3x = 0
5 + -1x = -33 + 0
5 + -1x = -33
Add '-5' to each side of the equation.
5 + -5 + -1x = -33 + -5
Combine like terms: 5 + -5 = 0
0 + -1x = -33 + -5
-1x = -33 + -5
Combine like terms: -33 + -5 = -38
-1x = -38
Divide each side by '-1'.
x = 38
Simplifying
x = 38
